I finally went in and out through terminal D, as both my JFK - SVO flight and my russian domestic connection were at terminal D (unlike other times). Terminal D had a street side lounge, but it can't be accessed with PP.
Terminal E and F are at walking distance from terminal D, but those lounges were plane side, so I also couldn't get to them.
Other times I have gone through terminal F, which has two lounges accesible with PP, so the question still remains as to whether it's possible to go to both lounges in terminal F.